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Ratio & Savings
The monthly incomes of Peter and Pau are in the ratio 4:3, and their expenses are in the ratio 3:2. If each saves Rs. 600 at the end of the month, what are their monthly incomes in Rupees?
Explanation and memory cue
Let Peter's income be 4x and Pau's income be 3x. Their expenses are in ratio 3:2, say 3y and 2y. Since both save Rs. 600, we have 4x - 3y = 600 and 3x - 2y = 600. Solving these equations gives x = 600 and y = 800, so incomes are 2400 and 1800 respectively.